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Finding the Third Proportional to 156,972 and 339,700

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Solution

The third proportional to 156,972 and 339,700 is: 735,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 339,700 = 339,700 : x
  2. Step 2: Convert to fraction form
    156,972/339,700 = 339,700/x
  3. Step 3: Cross multiply
    156,972x = 339,700 × 339,700
  4. Step 4: Simplify right side
    156,972x = 115,396,090,000
  5. Step 5: Solve for x
    x = 115,396,090,000/156,972
  6. Step 6: Final answer
    x = 735,138.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.